Quantum theory of the magnetochiral anisotropy coefficient in ZrTe$_5$

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Hauptverfasser: Wang, Yi-Xiang, Li, Fuxiang
Format: Preprint
Veröffentlicht: 2023
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author Wang, Yi-Xiang
Li, Fuxiang
author_facet Wang, Yi-Xiang
Li, Fuxiang
contents Recent experiments performed the nonreciprocal magneotransport in ZrTe$_5$ and obtained a giant magnetochiral anisotropy (MCA) coefficient $γ'$. The existing theoretical analysis was based on the semiclassical Boltzmann equation. In this paper, we develop a full quantum theory to calculate $γ'$ and further explore the underlying physics. We reveal that the $xz$-mirror symmetry breaking term also breaks the parity symmetry of the system and leads to mixed selection rules and nonvanishing second-order conductivity $σ_{xxx}$. The calculations show that $γ'$ decreases with the magnetic field, survives only to weak impurity scatterings, and exhibits a nonmonotonous dependence on the strength of the $xz$-mirror symmetry breaking. Our paper can provide a deeper insight into the intrinsic nonreciprocal magnetotransport phenomena in the topological semimetal material.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13909
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum theory of the magnetochiral anisotropy coefficient in ZrTe$_5$
Wang, Yi-Xiang
Li, Fuxiang
Mesoscale and Nanoscale Physics
Recent experiments performed the nonreciprocal magneotransport in ZrTe$_5$ and obtained a giant magnetochiral anisotropy (MCA) coefficient $γ'$. The existing theoretical analysis was based on the semiclassical Boltzmann equation. In this paper, we develop a full quantum theory to calculate $γ'$ and further explore the underlying physics. We reveal that the $xz$-mirror symmetry breaking term also breaks the parity symmetry of the system and leads to mixed selection rules and nonvanishing second-order conductivity $σ_{xxx}$. The calculations show that $γ'$ decreases with the magnetic field, survives only to weak impurity scatterings, and exhibits a nonmonotonous dependence on the strength of the $xz$-mirror symmetry breaking. Our paper can provide a deeper insight into the intrinsic nonreciprocal magnetotransport phenomena in the topological semimetal material.
title Quantum theory of the magnetochiral anisotropy coefficient in ZrTe$_5$
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2310.13909